The Solution Of Location Problems With Certain Existing Facility Structures

Abstract

It is known that in the Euclidean distance case, the optimal minisum location of a new facility io relation to four existing facilities is at the intersection of the two lines joining two pairs of the facilities. We extend this concept to minisum problems having any even number of existing facilities and characterized by generalized distance norms.

Résumé

Dans le cas de la distance Euclidienne, on sait que l’emplacement minisum optimuna d’une nouvelle unité d’equipment, par rapport à quatre unités déjà existants, se trouve à l’intersection des deux lignes qui joignent entre elles deux paires de ces unités. Nous étendons le concept aux problèmes minisum présentant un nombre pair non restreint d’unités d’equipement déjà installés et caracterisées par des normes généralisés de distance.

Additional information

Notes on contributors

Henrik Juel

HENRIK JUEL received his PH D in Business Administration from the University of Wisconsin. He has held positions at Michigan Institute of Technology, Virginia Institute of Technology, and Odense University, Denmark, and is Associate Professor at Soenderborg School of Economics and Business Administration, Denmark. He has published a dozen articles in Operations Research, The Journal of the Operational Research Society, Naval Research Logistics Quarterly, Transportation Science, and other journals. His main research interest is location theory.

Robert Love

ROBERT F. LOVE is currently a professor of management science at McMaster University, formerly at the University of Wisconsin, Madison. He obtained a Bachelor of Applied Science in Industrial Engineering from the University of Toronto, an MBA from the University of Western Ontario, and a PH D from the Graduate School of Business, Stanford University. He has published over forty articles in leading management science and industrial engineering journals in the areas of facilities location, queueing theory, inventory models, and applications of integer programming. His current research interests include facilities location problems and merger theory. He is a member of TIMS, ORSA, CORS, and the Association of Professional Engineers of Ontario.